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• W4321491623 abstract "We study the critical behavior of the three-dimensional Gross-Neveu (GN) model with ${N}_{f}$ four-component Dirac fermionic flavors and quartic interactions, at the chiral ${mathbb{Z}}_{2}$ transition in the massless ${mathbb{Z}}_{2}$-symmetric limit. For this purpose, we consider a lattice GN model with staggered Kogut-Susskind fermions and a scalar field coupled to the scalar bilinear fermionic operator, which effectively realizes the attractive four-fermion interaction. We perform Monte Carlo simulations for ${N}_{f}=4$, 8, 12, 16. By means of finite-size scaling analyses of the numerical data, we obtain estimates of the critical exponents, which are compared with the large-${N}_{f}$ predictions obtained using the continuum GN field theory. We observe a substantial agreement. This confirms that lattice GN models with staggered fermions provide a nonperturbative realization of the GN quantum field theory, even though the lattice interactions explicitly break the flavor $mathrm{U}({N}_{f})ensuremath{bigotimes}mathrm{U}({N}_{f})$ symmetry of the GN field theory, which is only recovered in the critical limit." @default.
• W4321491623 created "2023-02-23" @default.
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• W4321491623 date "2023-02-22" @default.
• W4321491623 modified "2023-10-18" @default.
• W4321491623 title "Chiral critical behavior of 3D lattice fermionic models with quartic interactions" @default.
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• W4321491623 doi "https://doi.org/10.1103/physrevd.107.034507" @default.
• W4321491623 hasPublicationYear "2023" @default.
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